2002 AIME I Problem 4

Consider the sequence defined by a_k=\frac 1{k^2+k} for k\ge 1. Given that a_m+a_{m+1}+\cdots+a_{n-1}=1/29, for positive integers m and n with m<n, find m+n.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.